Which linear function represents the line given by the point-slope equation y – 8 =1/2 (x – 4)? f(x) =1/2 x + 4 f(x) =1/2 x + 6 f(x) =1/2 x – 10 f(x) =1/2 x – 12

Question

asked Aug 8, 2020 32.2k views

1 Answer

Captcadaver · Answer 1 · 2020-08-14T22:56:54+0000

Answer:

The correct answer is f(x) =1/2 x + 6

Explanation:

We have to convert the equation of line in the form of a function to compare with the options

Given equation of line is:

$y-8=(1)/(2)(x-4)\\ Distributing\ 1/2\\y-8=(1)/(2)x-(4)((1)/(2))\\y-8=(1)/(2)x-2\\y=(1)/(2)x-2+8\\y=(1)/(2)x+6$

Therefore, the correct answer is f(x) =1/2 x + 6 ..